The Fredkin model describes a spin-half chain segment subject to three-body, correlated-exchange interactions and twisted boundary conditions. The model is frustration-free, and its ground state wave function is known exactly. Its low-energy physics is that of a strong xy ferromagnet with gapless excitations and an unusually large dynamical exponent. We study a generalized spin chain model that includes the Fredkin model as a special tuning point and otherwise interpolates between the conventional ferromagnetic and antiferromagnetic quantum Heisenberg models. We solve for the low-lying states, using exact diagonalization and density-matrix renormalization group calculations, in order to track the properties of the system as it is tuned away from the Fredkin point; we also present exact analytical results that hold right at the Fredkin point. We identify a zero-temperature phase diagram with multiple transitions and unexpected ordered phases. The Fredkin ground state turns out to be particularly brittle, unstable to even infinitesimal antiferromagnetic frustration. We remark on the existence of an "anti-Fredkin" point at which all the contributing spin configurations have a spin structure exactly opposite to those in the Fredkin ground state. arXiv:1805.00532v3 [cond-mat.str-el]

The dynamical behavior of a quantum many-particle system is characterized by the lifetime of its excitations. When the system is perturbed, observables of any non-conserved quantity decay exponentially, but those of a conserved quantity relax to equilibrium with a power law. Such processes are associated with a dynamical exponent 𝑧 that relates the spread of correlations in space and time. We present numerical results for the Fredkin model, a quantum spin chain with a three-body interaction term, which exhibits an unusually large dynamical exponent. We discuss our efforts to produce a reliable estimate 𝑧 3.18(2) through direct simulation of the quantum evolution and to explain the slow dynamics in terms of an excited bond that executes a constrained random walk in Monte Carlo time.

The aim of this paper is to examine the impact of liquidity on profitability in Nepalese commercial banks. Market price, earning per share, net profit margin and return on assets are taken as the indicators of profitability. Deposit-credit ratio, cash reserve ratio and capital adequacy ratio are taken as the indicators of liquidity. This study has tried to determine the association between liquidity and profitability indicators of 27 commercial banks out of 28 commercial banks in Nepal. The cross-sectional secondary data of these banks were used. Descriptive and causal comparative research strategies were applied to analyse the data. Correlation analysis and multiple general linear regression analysis were applied to establish the association. This study has found that there is no statistically significant association between liquidity and profitability indicators in Nepalese commercial banking industry. The data were analysed using statistical software mini tab.

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This survey attempted to explore the motivating factors of young entrepreneurs in eastern Nepal to start a business. Primary data were collected from 204 young entrepreneurs from eastern Nepal using a self-administered questionnaire. The collected data were coded, entered, and processed in the Statistical Package for the Social Science (SPSS, version 25). This survey used a quantitative technique to analyze the collected data. The study's findings revealed that most young entrepreneurs of eastern Nepal were motivated by profit potential to start the business, followed by a perceived difficulty tofind a job in Nepal and willingness to do something new through entrepreneurial activity. The least number of entrepreneurs had started their business for legacy purposes and to take advantage of a supportive business network.